Statistics Homework Solutions 72

Statistics Homework Solutions 72 - 72 CHAPTER 4 Chapter 4...

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72 CHAPTER 4 Chapter 4 Section 4.1 1. (a) X Bernoulli p , where p 0 55. μ X p 0 55, σ 2 X p 1 p 0 2475. (b) No. A Bernoulli random variable has possible values 0 and 1. The possible values of Y are 0 and 2. (c) Y 2 X , where X Bernoulli p . Therefore μ Y 2 μ X 2 p 1 10, and σ 2 Y 2 2 σ 2 X 4 p 1 p 0 99. 3. (a) p X 0 05 (b) p Y 0 20 (c) p Z 0 23 (d) Yes, it is possible for there to be both discoloration and a crack. (e) No. p Z P X 1 or Y 1 P X 1 P Y 1 because P X 1 and Y 1 0. (f) No. If the surface has both discoloration and a crack, then
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